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Showing 1 to 4 of 4 for “"Galilean transformation"”.
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Beyond the tanh method-looking for explicit travelling wave solutions to partial differential equations
… a given PDE has solutions invariant under a Galilean transformation; in such a case, it can be reduced to an ODE. We discuss the existence of travelling wave solutions by using phase plane analysis. We show that popular methods such as the tanh-method, G0/G-method and many more are special …
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Studies of Coherent Synchrotron Radiation with the Discontinuous Galerkin Method
… Maxwell's equations with 3D DG using a Galilean transformation and demonstrate proof-of-concept. In the above studies, we examine the accuracy, efficiency, and convergence of DG.
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Microparticle Influenced Electroosmotic Flow
… positively and negatively charged particles. A Galilean transformation was employed in which the particles were held stationary. A moving wall model was utilized to account for the particle velocity and the wall-induced electroosmotic flow. The particle-induced electroosmotic flow was also …
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Caustics in gravitational theories
… the similarity solution (based on simple scaling transformations) obtained in the limit as we approach the cusp describes unbounded densities on the axis of symmetry. To correct this we suppose that the Newtonian constant G must also be scaled. We find that the solution now obtained in the limit …